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Student Achievement Dashboard Training
Objectives
● PWBAT understand the purpose for using the dashboard to analyze student achievement
● PWBAT understand the concepts and metrics used in the dashboard
● PWBAT know how to use the dashboard
Purpose & Functions
Purpose - To inform school and district leadership about the performance and growth of students
Questions We Sought to Answer● Proficiency
o How did each school/grade perform?o Which schools/grades have the highest/lowest proficiency?
● Growtho What was the growth for each school/grade?o Which schools/grades have the highest/lowest growth?
...this is a new way of thinking about our data!
Metrics
● Proficiency● Median Percentile Rank● Student Growth Percentile● Quartiles
Methodology
● We grouped all students in the district that have the same test for the previous year (2013) and the current year (2014).
● Only students with BOTH scores AND who are promoted are included in each dataset.
● For each group, we converted the FCAT/EOC scale score to a percentile rank.
Quick Tutorial on Percentiles
A percentile is a measure that indicates the percent of a distribution that is equal to or below it.
For example, let’s say Lara scored at the 12th percentile on a test. This means that she performed better than 12% of all other students who took the test. And let’s say Marcus scored at the 79th percentile. This means that he scored better than 79% of the other students who took the test.
Groups & CountsReading
2013 2014 # of Students
Grade 3 25,313
Grade 3 Grade 4 23,298
Grade 4 Grade 5 23,970
Grade 5 Grade 6 23,503
Grade 6 Grade 7 24,212
Grade 7 Grade 8 24,979
Grade 8 Grade 9 24,257
Grade 9 Grade 10 24,093
Math
2013 2014 # of Students
Grade 3 25,301
Grade 3 Grade 4 23,298
Grade 4 Grade 5 23,928
Grade 5 Grade 6 23,377
Grade 6 Grade 7 20,852
Grade 6 Grade 7 Alg 3,357
Grade 7 Grade 8 13,502
Grade 7 Grade 8 Alg 8,946
Grade 7 Alg Grade 8 Geo 2,349
Grade 8 Grade 9 Alg 14,494
Grade 8 Alg Grade 9 Geo 6,797
Grade 9 Alg Grade 10 Geo 16,311
Proficiency
First, and foremost, we are most concerned with proficiency. We want more of our students to be able to read and do math proficiently.
Proficiency
Proficiency Example: Let’s say there are 85 students that have a 2014 FCAT Grade 4 score (current year) AND a 2013 FCAT Grade 3 score (previous year).
In 2013, 43% of these students passed the 3rd grade test. But in 2014, 48% (of these same 85 kids) passed the 4th grade test. These proficiency rates exclude students that do not have BOTH scores.
We are NOT comparing “this year’s 4th grade students” to “last year’s 4th grade students.” We are comparing “this year’s 4th grade students” to “how they did in 3rd grade (the previous year).”
Grade 3 does NOT have a prior year test, and as a result, this group is NOT included in the “All” totals for 2013 and 2014.
ProficiencyExample: Let’s say there are 41 8th grade students that have a 2014 Algebra 1 EOC score (current year) AND a 2013 FCAT Grade 7 score (previous year).
In 2013, all of these students passed the FCAT Math Grade 7 test. But in 2014, only 92% (of these same 41 kids) passed the Algebra 1 EOC. These proficiency rates exclude students that do not have BOTH scores.
Growth
While important, proficiency rates don’t tell the whole story about what is happening at a school. Many of our students start well below grade level, so in order to catch them up, we need for them to make growth. Growth metrics account for where a group of students started the year (proficiency rates alone don’t do this).
Three growth metrics:● Change in median percentile rank● Student Growth Percentiles● Quartiles
Growth Example
Students
Aaron
Alesiah
Anna
Carlos
Christopher
Darryl
Dontavius
Eric
Jacqueline
Kevin
Leah
Tamara
Let’s take a look at a group of 12 students.
In this example, these students took the FCAT Reading Grade 6 test in 2013 and the FCAT Reading Grade 7 test in 2014.
Percentile Rank (Prior Yr.)2013 FCAT Grade 6
Student FCAT Scale Score
FCAT Percentile
Aaron 211 24
Alesiah 232 60
Anna 211 24
Carlos 177 3
Christopher 204 16
Darryl 217 33
Dontavius 245 82
Eric 226 48
Jacqueline 196 10
Kevin 167 0
Leah 220 38
Tamara 191 8
Anna’s score of 211 puts her in the 24th percentile (she performed better than 24% of all students who took this test).
Dontavius’ score of 245 puts him in the 82nd percentile (he did better than 82% of all students who took this test).
Each student’s FCAT/EOC scale score is converted into a percentile. In this example, the scale scores are compared against all 24,212 students in this group.
Median Percentile Rank (Prior Yr.)2013 FCAT Grade 6
Student FCAT Scale Score
FCAT Percentile
Dontavius 245 82
Alesiah 232 60
Eric 226 48
Leah 220 38
Darryl 217 33
Aaron 211 24
Anna 211 24
Christopher 204 16
Jacqueline 196 10
Tamara 191 8
Carlos 177 3
Kevin 167 0
Median 211 24
We sorted the list of 2013 Grade 6 scores and found the median. The median FCAT scale score is 211, which corresponds to a median percentile of 24.
This means that half of the students in this group scored above the 24th percentile and half scored below.
Percentile Rank (Current Year)2014 FCAT Grade 7
Student FCAT Scale Score
FCAT Percentile
Aaron 224 34
Alesiah 245 71
Anna 215 21
Carlos 197 7
Christopher 201 9
Darryl 221 29
Dontavius 258 88
Eric 235 55
Jacqueline 204 11
Kevin 186 3
Leah 229 43
Tamara 223 31
Here are the scores for these same 12 students on the 2014 FCAT Grade 7 test (the next year).
Again, each scale score is converted into a percentile based on how the student did compared to the 24,212 MDCPS students in their reference group.
Median Percentile Rank (Current Yr.)2014 FCAT Grade 7
Student FCAT Scale Score
FCAT Percentile
Dontavius 258 88
Alesiah 245 71
Eric 235 55
Leah 229 43
Aaron 224 34
Tamara 223 31
Darryl 221 29
Anna 215 21
Jacqueline 204 11
Christopher 201 9
Carlos 197 7
Kevin 186 3
Median 222 30
With the 2014 Grade 7 scores, we sorted the list and found the median. The median FCAT scale score is 222, which corresponds to a median percentile of 30.
This means that half of the students in this group scored above the 30th percentile and half scored below on this test.
Change in Median Percentiles2013 FCAT Grade 6
Student FCAT Scale Score
FCAT Percentile
Aaron 211 24
Alesiah 232 60
Anna 211 24
Carlos 177 3
Christopher 204 16
Darryl 217 33
Dontavius 245 82
Eric 226 48
Jacqueline 196 10
Kevin 167 0
Leah 220 38
Tamara 191 8
Median 22 24
2014 FCAT Grade 7
FCAT Scale Score
FCAT Percentile
224 34
245 71
215 21
197 7
201 9
221 29
258 88
235 55
204 11
186 3
229 43
223 31
30
Now we can compare the median percentile from the previous year (grade 6) to the current year (grade 7).
In this example, the median percentile increased from 24 to 30.
Bubble Chart
(24, 30)
We can plot the point on a graph, where the horizontal axis is the median percentile rank of the previous year and the vertical axis is the median percentile rank of the current year.
Bubble Chart
* Each bubble represents a school or grade.
* Bubble size is proportional to the number of students.
The diagonal line represents performance in which the median score for the current year was the same as the median score for the previous year.
Bubbles centered above the line represent groups of students whose median percentile rank INCREASED from the previous year.
Bubbles centered below the line represent groups of students whose median percentile rank DECREASED from the previous year.
Student Growth Percentiles
We discussed the performance of our middle student, but how did each student do when compared to other students with similar scores?
To answer this question, we calculate a Student Growth Percentile for each student.
Let’s use Aaron as an example...
Student Growth Percentiles (SGP)2013 FCAT Grade 6
Student FCAT Scale Score
FCAT Percentile
Aaron 211 24
2014 FCAT Grade 7
FCAT Scale Score
FCAT Percentile
224 34
Aaron received a scale score of 211 on the 2013 FCAT Grade 6 test. The scale score is at the 24th percentile, which means that Aaron scored better than 24% of all students who took the test (and worse than 76%).
In 2014, Aaron took the FCAT Grade 7 test and received a scale score of 224. This scale score is at the 34th percentile, which means that he did better than 34% of all students who took this test.
His percentile rank in 2014 improved, but it is still on the lower end of achievement. So how did Aaron do compared to where he started? To calculate this, we look at his “academic peers,” which consist of all other students in the district with a similar score the prior year.
Student Growth Percentiles
200
283
167
175
225
275
250
24,212 total students
211
Out of the 24,212 students that took the 2013 FCAT Reading Grade 6 test, 400 students scored a 211 and Aaron is one of them. These students constitute Aaron’s “academic peers.”
2013 FCAT Reading Grade 6
200
289
171175
225
275
250
400 total students in Aaron’s “Academic Peer” group
2014 FCAT Reading Grade 7
On the 2014 FCAT Reading Grade 7 test, Aaron scored a 224. Other students have different scores - 171, 193, 209, 238, 260, etc. Compared to all students in his academic peer group, Aaron’s score of 224 was better than 64% of them.
So Aaron’s Student Growth Percentile is 64.
Aaron
224
Student Growth Percentiles
We calculate a Student Growth Percentile for EACH student.
Here are the SGPs for Dontavius and Kevin...
Student Growth Percentiles
200
283
167
175
225
275
250
24,212 total students
245
Out of the 24,212 students that took the 2013 FCAT Reading Grade 6 test, 325 students scored a 245 and Dontavius is one of them. These students constitute Dontavius’ “academic peers.”
2013 FCAT Reading Grade 6
200
289
171175
225
275
250
325 total students in Dontavius’ “Academic Peer” group
2014 FCAT Reading Grade 7
On the 2014 FCAT Reading Grade 7 test, Dontavius scored a 258. Other students have different scores - 201, 216, 244, 280, etc. Compared to all students in his academic peer group, Dontavius’ score of 258 was better than 73% of them.
So Dontavius’ Student Growth Percentile is 73.
258
Dontavius
Student Growth Percentiles
200
283
167
175
225
275
250
24,212 total students
245
Out of the 24,212 students that took the 2013 FCAT Reading Grade 6 test, 480 students scored a 167 and Kevin is one of them. These students constitute Kevin’s “academic peers.”
2013 FCAT Reading Grade 6
200
289
171175
225
275
250
480 total students in Kevin’s “Academic Peer” group
2014 FCAT Reading Grade 7
On the 2014 FCAT Reading Grade 7 test, Kevin scored a 186. Other students have different scores - 171, 191, 199, 205, 226, etc. Compared to all students in his academic peer group, Kevin’s score of 186 was better than 38% of them.
So Kevin’s Student Growth Percentile is 38.
186
Kevin
Student Growth Percentiles (SGP)
Student
Aaron
Alesiah
Anna
Carlos
Christopher
Darryl
Dontavius
Eric
Jacqueline
Kevin
Leah
Tamara
Student Growth Percentile
64
74
33
60
16
34
73
56
56
38
58
85
Each student has a Student Growth Percentile that is based on how they performed in relation to their own academic peer group.
We just calculated the SGPs for Aaron, Dontavius, and Kevin.
Median SGP
Student Growth Percentile
85
74
73
64
60
58
56
56
38
34
33
16
Student
Tamara
Alesiah
Dontavius
Aaron
Carlos
Leah
Eric
Jacqueline
Kevin
Darryl
Anna
Christopher
For each group (e.g., school or grade), we calculate a “Median Student Growth Percentile” by taking the median of the SGPs.
In this example, the Median Student Growth Percentile is 57. This means that half of the students have a SGP above 57 and half have a SGP below.
Larger median SGPs indicate higher rates of growth across the distribution of scores. Smaller median SGPs indicate lower rates of growth across the distribution.
The district median SGP is 48.
Sample School
All
5
4
Median Percentile Rank
Gr Size 2013 2014
4 61 38 46
5 46 36 27
All 107 38 38
For this elementary school, the median percentile rank for the 61 4th grade students increased 8 percentile points, which is why the bubble is positioned above the line. The median percentile rank for the 5th grade students decreased, which is why the 5th grade bubble is below the line.
Combining both grades, the median percentile rank for all 107 students was unchanged.
Clearly, 5th grade is the relative priority.
Sample School
Median Percentile Rank
Gr Size 2013 2014 Median SGP
4 61 38 46 53
5 46 36 27 30
All 107 38 38 41
Keeping the bubbles positioned as they are, we can add the “Median Student Growth Percentile” metric to the graph as the bubble color.
Remember, this is a DIFFERENT metric than the median percentile rank metric. For 4th grade, the Median SGP of 53 indicates that half of these 61 students have a SGP below 53 and half have an SGP above 53. For 5th grade, the Median SGP of 30 indicates that half of these 46 students have a SGP below 30 and half have an SGP above 30.
5th Grade (All Schools)
Reading Math
Quartiles2013 FCAT Grade 6
Student FCAT Scale Score
FCAT Percentile
Dontavius 245 82
Alesiah 232 60
Eric 226 48
Leah 220 38
Darryl 217 33
Aaron 211 24
Anna 211 24
Christopher 204 16
Jacqueline 196 10
Tamara 191 8
Carlos 177 3
Kevin 167 0
2014 FCAT Grade 7
Student FCAT Scale Score
FCAT Percentile
Dontavius 258 88
Alesiah 245 71
Eric 235 55
Leah 229 43
Aaron 224 34
Tamara 223 31
Darryl 221 29
Anna 215 21
Jacqueline 204 11
Christopher 201 9
Carlos 197 7
Kevin 186 3
Q3 = 43
Q2 = 24
Q1 = 9
Q3 = 49
Q2 = 30
Q1 = 10
Quartiles
Quartiles
On the 2013 FCAT Grade 6 test... On the 2014 FCAT Grade 7 test...
...25% of students had a percentile rank between 43 and 100.
...25% of students had a percentile rank between 24 and 43.
...25% of students had a percentile rank between 9 and 24.
25% of students had a percentile rank between 0 and 9.
...25% of students had a percentile rank between 49 and 100.
...25% of students had a percentile rank between 30 and 49.
...25% of students had a percentile rank between 10 and 30.
...25% of students had a percentile rank between 0 and 10.
Review of Metrics
Proficiency● Criterion-referenced metric
Growth● Norm-referenced metrics● Students in a particular group are compared against all
other students in that group (e.g., all other 24,000 MDCPS students that have a 5th grade score AND a 4th grade score for the previous year)
District-Wide (for each grouping)
MDCPS
Because the median percentile rank is a norm-referenced metric, for each group (e.g. 4th grade to 5th grade students), the median percentile rank for all MDCPS students in that group is approximately 50 for the prior year and 50 for the current year. So if we plotted a bubble for the district, it would be centered around (50, 50). And the bubble would be huge because it represents 24,000 students.
Similarly, the median Student Growth Percentile for the district is 48. This means that about half of the students in a group have a SGP above 48 and half have a SGP below 48. For this reason, the district’s bubble is white (not a shade of green or red).
Again, norm-referenced metrics compare a large group of students to each other.
District-Wide (for each grouping)On the 2013 test...
And on the 2014 test...
...25% of students had a percentile rank between 75 and 100. This is the 4th quartile.
...25% of students had a percentile rank between 50 and 75. This is the 3rd quartile.
...25% of students had a percentile rank between 25 and 50. This is the 2nd quartile.
25% of students had a percentile rank between 0 and 25. This is the 1st quartile.
Because the district is the reference group and we calculated the percentile ranks compared to our MDCPS students, it makes sense that approx. 25% of the students in the group are in each quartile for both years.
So if there are 24,000 students in a grouping (remember this grouping only contains students with BOTH scores), approximately 6,000 students would be in each quartile:
* 6,000 students would have a percentile rank between 0 and 25
* 6,000 students would have a percentile rank between 25 and 50
* 6,000 students would have a percentile rank between 50 and 75
* 6,000 students would have a percentile rank between 75 and 100
Example Dashboard
Interesting Case
Questions
??
?
??
Bubble Chart w/ Median SGPs
The median Student Growth Percentiles (SGPs) are displayed as the bubble color. Entities with lower median SGPs are red and entities with higher median SGPs are green.
Quartiles
200
225
260
250
2013 FCAT Reading Grade 3
2014 FCAT Reading Grade 4
150
175
200
225
269
250
154
175
140
155
175
180
255
140